Lagrange identity for polynomials and $\delta$-codes of lengths $7t$ and $13t$
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- by C. H. Yang PDF
- Proc. Amer. Math. Soc. 88 (1983), 746-750 Request permission
Abstract:
It is known that application of the Lagrange identity for polynomials (see [1]) is the key to composing four-symbol $\delta$-codes of length $(2s + 1)t$ for $s = {2^a}{10^b}{26^c}$ and odd $t \leqslant 59$ or $t = {2^d}{10^e}{26^f} + 1$, where $a$, $b$, $c$, $d$, $e$ and $f$ are nonnegative integers. Applications of the Lagrange identity also lead to constructions of four-symbol $\delta$-codes of length $u$ for $u = 7t$ or $13t$. Consequently, new families of Hadamard matrices of orders $4uw$ and $20uw$ can be constructed, where $w$ is the order of Williamson matrices. Related topics on zero correlation codes are also discussed.References
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C. H. Yang, A composition theorem for $\delta$-codes (to appear).
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 88 (1983), 746-750
- MSC: Primary 05B20; Secondary 05A19, 94B99
- DOI: https://doi.org/10.1090/S0002-9939-1983-0702312-0
- MathSciNet review: 702312